Bar staffers are lucky they weren't seriously hurt in a brawl involving Cowboys stud Tyrone Crawford back in March ... TMZ Sports has obtained new video of the Florida fight, and TC was throwing BOMBS!!!
Crawford -- a Dallas team captain -- was the centerpiece of a melee inside of a Coyote Ugly bar on March 15 in Panama City Beach, FL.
In new footage we obtained of the whole brawl ... you can see how it all starts, with bouncers aggressively pulling a man by the neck through the crowd.